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Determine the values of x and y if they satisfy both the following equations simultaneously:
$2x + y = 3$
$x^2 + y + x = y^2$

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from $1, y = 3 - 2x$

subst to $2, x^2 + 3 - 2x + x = (3-2x)^2$

$3x^2 - 11x +6 =0$ use quadratic formula or any method to find $x$

$x=4.15$ or $x= -0.48$

from $1, 2(4.15) + y=3$

$y= -5.3$

or $2(-0.48) + y=3$

$y= 3.96$
by Diamond (80.1k points)

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